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Finding the Fourth Proportional to 52,828.88, 79,254.84 and 15,890

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Solution

The fourth proportional to 52,828.88, 79,254.84 and 15,890 is: 23,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,828.88 : 79,254.84 = 15,890 : x
  2. Step 2: Convert to fraction form
    52,828.88/79,254.84 = 15,890/x
  3. Step 3: Cross multiply
    52,828.88x = 79,254.84 × 15,890
  4. Step 4: Simplify right side
    52,828.88x = 1,259,359,407.60
  5. Step 5: Solve for x
    x = 1,259,359,407.60/52,828.88
  6. Step 6: Final answer
    x = 23,838.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.